dc.creator | Dallaston, M. C. | es |
dc.creator | Fontelos López, Marco Antonio | es |
dc.creator | Herrada Gutiérrez, Miguel Ángel | es |
dc.creator | López Herrera, J. M. | es |
dc.creator | Eggers, Jens | es |
dc.date.accessioned | 2022-10-03T15:45:19Z | |
dc.date.available | 2022-10-03T15:45:19Z | |
dc.date.issued | 2021 | |
dc.identifier.citation | Dallaston, M.C., Fontelos López, M.A., Herrada Gutiérrez, M.Á., López Herrera, J.M. y Eggers, J. (2021). Regular and complex singularities of the generalized thin film equation in two dimensions. Journal of Fluid Mechanics, 917, A20. https://doi.org/10.1017/jfm.2021.286. | |
dc.identifier.issn | 0022-1120 | es |
dc.identifier.uri | https://hdl.handle.net/11441/137575 | |
dc.description | A20 | es |
dc.description.abstract | We use a generalized version of the equation of motion for a thin film of liquid on a solid,
horizontal substrate as a model system to study the formation of singularities in space
dimensions greater than one. Varying both the exponent controlling long-ranged forces, as
well as the exponent of the nonlinear mobility, we predict the structure of the singularity
as the film thickness goes to zero. The spatial structure of rupture may be either ‘pointlike’
(approaching axisymmetry) or ‘quasi-one-dimensional’, in which case a one-dimensional
singularity is unfolded into two or higher space dimensions. The scaling of the profile with
time may be either strictly self-similar (the ‘regular’ case) or discretely self-similar and
perhaps chaotic (the ‘irregular’ case). We calculate the phase boundaries between these
regimes, and confirm our results by detailed comparisons with time-dependent simulations
of the nonlinear thin film equation in two space dimensions. | es |
dc.description.sponsorship | Junta de Andalucía P18-FR-3623 | es |
dc.description.sponsorship | Ministerio de Economía y Competitividad (MINECO). España 108278-RB-C31 | es |
dc.format | application/pdf | es |
dc.format.extent | 29 p. | es |
dc.language.iso | eng | es |
dc.publisher | Cambridge University Press | es |
dc.relation.ispartof | Journal of Fluid Mechanics, 917, A20. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Thin films | es |
dc.subject | Pattern formation | es |
dc.title | Regular and complex singularities of the generalized thin film equation in two dimensions | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/acceptedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Ingeniería Aeroespacial y Mecánica de Fluidos | es |
dc.relation.projectID | P18-FR-3623 | es |
dc.relation.projectID | 108278-RB-C31 | es |
dc.relation.publisherversion | https://www.cambridge.org/core/journals/journal-of-fluid-mechanics/article/regular-and-complex-singularities-of-the-generalized-thin-film-equation-in-two-dimensions/A7D2123A8ED2A6A954702CF1F1D023A5 | es |
dc.identifier.doi | 10.1017/jfm.2021.286 | es |
dc.journaltitle | Journal of Fluid Mechanics | es |
dc.publication.volumen | 917 | es |
dc.publication.initialPage | A20 | es |
dc.contributor.funder | Junta de Andalucía | es |
dc.contributor.funder | Ministerio de Economía y Competitividad (MINECO). España | es |